Let P(A) = 0.6, P(B) = 0.3, and P(A∪BC) = 0.1. Calculate P(A|B).

Question

Question

Let P(A) = 0.6, P(B) = 0.3, and P(A∪B^C) = 0.1. Calculate P(A|B).

math Statistics-And-Probability

Answer 1

Answer #1

P(A B^c ) = P(A) + P(B) - P(A B^c )

0.1 = 0.6 + 0.3 - P(A B^c )

P(A B^c ) = 0.8

Now

P(A B^c ) = P(A) - P(A B)

0.8 = 0.6 - P(A B)

P(A B) = 0.2

Therefore

P(A \ B) = P(A B) / P(B)

= 0.2 / 0.3

= 2/3

= 0.6667

Answer 2

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